Trained dolphins are capable of a vertical leap of 7.0m straight up from the surface of the water-an impressive feat. suppose you could train a dolphin to launch itself out of the water at this same speed but at an angle.
what maximum horizontal range could the dolphin achieve?

14 m

Explanation:

This situation is related to parabolic motion, in which the motion of the dolphins has two components: x-component and y-component. Being their main equations as follows:  

x-component:  

  (1)  

(2)  

Where:  

is the dolphin's initial speed  

is the angle

is the time since the dolphin jumps until it goes to the water surface again

is the horizontal component of the initial velocity

y-component:  

(3)

  (4)  

  (5)  

Where:  

is the maximum height the dolphin can reach (when )  

is the velocity of the dolphin at its maximum height

is the acceleration due gravity

is the vertical component of the initial velocity

Let's begin with (3) when (straight up leap):

(6)

Finding :

(7)

Isolating from (4):

  (8)  

Substituting (7) and (8) in (1):

(9)  

(10)  

is maximum when . This means:

Hence, the maximum horizontal range the dolphin could achieve is when :

(10)  

Finally:

the earths atmosphere is made up of nitrogen and oxygen. solids can turn into gasses through a process called sublimation. sublimation is the transition of a substance directly from the solid to the gas phase, without passing through the intermediate liquid phase.

hope this : d

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.